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131013431122042 = 27412437427121929
BaseRepresentation
bin11101110010011111110001…
…000001011101100001111010
3122011212202120021110101222101
4131302133301001131201322
5114133011001331401132
61142350423412014014
736411256646130640
oct3562376101354172
9564782507411871
10131013431122042
113882153639a987
121283b34500130a
13581468a33c901
14244d126317190
151022e600217e7
hex7727f105d87a

131013431122042 has 64 divisors (see below), whose sum is σ = 230231163939840. Its totient is φ = 54741339878400.

The previous prime is 131013431122037. The next prime is 131013431122109. The reversal of 131013431122042 is 240221134310131.

It is a self number, because there is not a number n which added to its sum of digits gives 131013431122042.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5974426134 + ... + 5974448062.

It is an arithmetic number, because the mean of its divisors is an integer number (3597361936560).

Almost surely, 2131013431122042 is an apocalyptic number.

131013431122042 is a deficient number, since it is larger than the sum of its proper divisors (99217732817798).

131013431122042 is a wasteful number, since it uses less digits than its factorization.

131013431122042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28687.

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 131013431122042 its reverse (240221134310131), we get a palindrome (371234565432173).

The spelling of 131013431122042 in words is "one hundred thirty-one trillion, thirteen billion, four hundred thirty-one million, one hundred twenty-two thousand, forty-two".

Divisors: 1 2 7 14 41 82 287 574 2437 4271 4874 8542 17059 21929 29897 34118 43858 59794 99917 153503 175111 199834 307006 350222 699419 899089 1225777 1398838 1798178 2451554 6293623 10408427 12587246 20816854 53440973 72858989 93658759 106881946 145717978 187317518 374086811 426745507 655611313 748173622 853491014 1311222626 2191079893 2987218549 3840009119 4382159786 5974437098 7680018238 15337559251 26880063833 30675118502 53760127666 228246395683 456492791366 1597724769781 3195449539562 9358102223003 18716204446006 65506715561021 131013431122042